1305906 has 64 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 334080.

The previous prime is 1305893. The next prime is 1305907. The reversal of 1305906 is 6095031.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22105 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2^1305906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880).

1305906 is an abundant number, since it is smaller than the sum of its proper divisors (2011854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305906 is a wasteful number, since it uses less digits than its factorization.

1305906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1305906 is about 1142.7624425050. The cubic root of 1305906 is about 109.3043147093.

It can be divided in two parts, 1305 and 906, that added together give a triangular number (2211 = T₆₆).

The spelling of 1305906 in words is "one million, three hundred five thousand, nine hundred six".